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Finding the Third Proportional to 15,148 and 32,100

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Solution

The third proportional to 15,148 and 32,100 is: 68,022.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,148 : 32,100 = 32,100 : x
  2. Step 2: Convert to fraction form
    15,148/32,100 = 32,100/x
  3. Step 3: Cross multiply
    15,148x = 32,100 × 32,100
  4. Step 4: Simplify right side
    15,148x = 1,030,410,000
  5. Step 5: Solve for x
    x = 1,030,410,000/15,148
  6. Step 6: Final answer
    x = 68,022.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.